Start with both Math and Science: 3/10

Math only: 11/20

Science only: 5/8

Change to similar fractions. The LCD of denominators 10, 20, and 8 is 40.

Both Math and Science: 3/10 = 12/40

Math only:11/20 = 22/40

Science only: 5/8 = 25/40

To find the number students with their favorites subject/s:

*Total Number of pupils surveyed = 40 *

*Both Math and Science* = __12 pupils__

*Math only*: 22-12= __10 pupils__

*Science only*: 25-12 = __13 pupils__

Total pupils with favorite subjects Math, Science, or both:

12 + 10 + 13 = 35 pupils

40 - 35 = __5 pupils whose favorite subject is neither Math or Science.__

*As fraction: The part of the total pupils surveyed with their favorite subjects:*

__Math and Science (Both)__ = 12/40 or __3/10__

__Math only__ = 10/40 or __1/4__

__Science only __= __13/40__

__Neither__ = 5/40 or __1/8__